Correct Answer - Option 3 : 56 liters
Given:
In 56 liters,
The ratio of milk to water is 5 : 2
Calculation:
The ratio of milk to water is 5 : 2
⇒ Milk in the total mixture = 5/7 of the total mixture
⇒ Quantity of Milk = 5/7 × 56
⇒ Quantity of Milk = 40 liters
Quantity of Water = Total mixture – Quantity of Milk
⇒ Quantity of Water = 56 – 40
⇒ Quantity of Water = 16 liters
Now, in the final mixture,
the ratio of milk to water 7 : 2
⇒ Water in the final mixture = 2/9 of the total mixture
⇒ 16 = 2/9 × Total mixture
⇒ Total mixture = (16 × 9)/2
⇒ Total mixture = 72 liters
Quantity of Milk = Total mixture – Quantity of Water
⇒ Quantity of Milk = 72 – 16
⇒ Quantity of Milk = 56 liters
∴ The quantity of milk in the new mixture is 56 liters.